Question

Use the definition for Ai to answer the questions.

For i ∈ Z+, Ai is the set of all integer multiples of i.

(a)

Describe the following set using set builder notation:

⋂i=15Ai

(b)

Describe the following set using roster notation:

(⋃i=25Ai)∩{x∈Z:1≤x≤20}

Step 1

Given information:

For i ∈ Z+, Ai is the set of all integer multiples of i.

Step 2

Calculation:

Let us assume that A_i={......, -3i,...

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